Local boundary data of eigenfunctions on a Riemannian symmetric space

DOI10.1007/BF01393841zbMath0698.43007OpenAlexW2080890972WikidataQ115393598 ScholiaQ115393598MaRDI QIDQ912346

Henrik Schlichtkrull, Erik P. van den Ban

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143747

zbMATH Keywords

Weyl groupasymptotic expansionLie algebrainvariant differential operatorsdiscrete seriesrestricted rootsRiemannian symmetric space of the noncompact type

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Related Items

Absence of principal eigenvalues for higher rank locally symmetric spaces, The spectrum of Kleinian manifolds, Decay of eigenfunctions on semisimple symmetric spaces, Embeddings of discrete series for a reductive symmetric space, Support of asymptotics and growth of eigenfunctions on a semisimple symmetric space, ``Generalized Schur orthogonality relations for reductive symmetric spaces, Asymptotic expansions and Hua-harmonic functions on bounded homogeneous domains, The principal series for a reductive symmetric space. II: Eisenstein integrals, A partial generalization of the Helgason Conjecture to general bounded homogeneous domains, Fonctions \(\mathbb {D}\)(G/H)-finies sur un espace symétrique réductif. (\(\mathbb {D}\)(G/H)-finite functions on a reductive symmetric space)

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